Abstract
It is proved that, in the one-component plasma, with interactions including a non-Coulombic short-range part, the density derivative of the correlation functionsρ n (r 1,⋯,r n) can be simply expressed as an integral ofρ n+1(r 1,⋯,r n+1). This result is applied to prove the relation between the fourth moment ofρ 2 and the compressibility.
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Vieillefosse, P., Brajon, M. Sum rules for the one-component plasma with additional short-range forces. J Stat Phys 55, 1169–1183 (1989). https://doi.org/10.1007/BF01041084
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DOI: https://doi.org/10.1007/BF01041084